Mathematical induction of 3k-1 ≥ 4k ( 3k = k power of 3 )

For making mathematical induction, we need:

An for which the relation holds true

if its true for , then, is true for

the relationship is not true for 1 or 2

but, is true for 3

lets say that the relationship is true for n, this is

lets add 4 on each side, this is

now

if then , so

and this is what we were looking for!

So, for any natural equal or greater than 3, the relationship is true.

bull

step-by-step explanation: